16314477617536 has 128 divisors (see below), whose sum is σ = 37358870814720. Its totient is φ = 6951598848000.

The previous prime is 16314477617513. The next prime is 16314477617569. The reversal of 16314477617536 is 63571677441361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×16314477617536² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848333041 + ... + 848352271.

It is an arithmetic number, because the mean of its divisors is an integer number (291866178240).

Almost surely, 2^{16314477617536} is an apocalyptic number.

16314477617536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16314477617536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679435407360).

16314477617536 is an abundant number, since it is smaller than the sum of its proper divisors (21044393197184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16314477617536 is a wasteful number, since it uses less digits than its factorization.

16314477617536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24664 (or 24652 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 61.

The spelling of 16314477617536 in words is "sixteen trillion, three hundred fourteen billion, four hundred seventy-seven million, six hundred seventeen thousand, five hundred thirty-six".